Least Common Multiple (LCM) of 97 and 95
The least common multiple (LCM) of 97 and 95 is 9215.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 97 and 95?
First, calculate the GCD of 97 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 95 = 1 remainder 2 |
| 2 | 95 ÷ 2 = 47 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 146 | 11096 |
| 68 and 140 | 2380 |
| 198 and 144 | 1584 |
| 139 and 174 | 24186 |
| 120 and 179 | 21480 |